Osi Umenyiora’s current team wants him to take a pay cut before returning next season. But if things don’t work out and the Falcons cut him, the 32-year-old pass rusher wouldn’t mind a return to the team with which he won two Super Bowls.

And the feeling might be mutual.

Umenyiora would entertain an offer to return to the Giants -- and the Giants would at least investigate -- if his situation in Atlanta came to an end, according to two people familiar with the situation. The people requested anonymity in order to speak freely on the matter.

The former second-round pick, who registered 7½ sacks in 2013, is due $3.5 million next season.

Umenyiora was described by one rival executive as the missing piece in the Giants lackluster pass rush this season. Despite the team’s push to get younger and quicker along their defensive front, Umenyiora could be a great value option for a defensive line that could see some major changes.

Justin Tuck and Linval Joseph are both expected to hit free agency on Tuesday.